Does the mass of the spring affect simple harmonic motion?

In fact, the mass m and the force constant k are the only factors that affect the period and frequency of simple harmonic motion.

How did increasing the mass affect the period of the Springs?

The slope of the line is the spring constant, k. Since a mass attached to a spring is a simple harmonic oscillator, we know the amplitude does not affect the period. The period will increase as the mass increases. More mass-with the same spring-will mean a larger period.

What happens to the period of a spring if the mass is doubled?

A mass attached to a spring vibrates with a period of 0.5 s. When the mass passes through its equilibrium position, it is moving with a velocity of 0.2 m/s. Thus, if the mass is doubled, the period increases by a factor of √2.

Why is the motion of a mass on a spring an example of simple harmonic motion?

Simple harmonic motion is often modeled with the example of a mass on a spring, where the restoring force obey’s Hooke’s Law and is directly proportional to the displacement of an object from its equilibrium position. Any system that obeys simple harmonic motion is known as a simple harmonic oscillator.

How does mass affect the period of oscillation due to spring forces?

The period of a spring-mass system is proportional to the square root of the mass and inversely proportional to the square root of the spring constant.

How does the period of motion of a vertical spring-mass system compare to the period of a horizontal system assuming the mass and spring constant are the same )?

How does the period of motion of a vertical spring-mass system compare to the period of a horizontal system (assuming the mass and spring constant are the same)? The period of the vertical system will be larger. The period of the vertical system will be smaller.

How does the mass affect the frequency of oscillation?

If the mass is doubled then the spring constant, the frequency of the oscillator, and, the amplitude of the motion also gets doubled. If the mass of a vibrating body increases, the frequency decreases. However, as the tension increases then the frequency also increases.

How does mass affect frequency?

As the mass of a vibrating body increases, its frequency decreases, but as the tension increases the frequency also increases.

What happens to the period of a mass oscillating on a spring when the spring constant quadruples?

The period if the value of the spring constant is quadrupled is 1 s. The period is independent of the amplitude. Therefore, if the oscillation amplitude is doubled while m and k are unchanged then the period will remain 2.0s.